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Vectors and Its Types

If a non zero...

Question

If a non zero vector $\to A$ is parallel to another non zero vector $\to B$ , then

A

\to A . (\to A + \to B) = A^{2} + A B

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B

\to A \times (\to A + \to B) = A B

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C

\to A . \to B = 0

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D

None of these

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Solution

The correct option is A $\to A . (\to A + \to B) = A^{2} + A B$
Given $\to A . (\to A + \to B) = \to A . \to A + \to A . \to B$
$= A^{2} + A B cos 0^{\circ} = A^{2} + A B$

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